Properties

Label 450800.es
Number of curves $1$
Conductor $450800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("es1")
 
E.isogeny_class()
 

Elliptic curves in class 450800.es

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450800.es1 450800es1 \([0, 1, 0, 2042, -274037]\) \(32000/1127\) \(-33147605750000\) \([]\) \(663552\) \(1.2743\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450800.es1 has rank \(1\).

Complex multiplication

The elliptic curves in class 450800.es do not have complex multiplication.

Modular form 450800.2.a.es

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{9} + 2 q^{11} - 3 q^{13} + O(q^{20})\) Copy content Toggle raw display